33 citations · 132 across the 20 of their papers we have counts for
25 papers
Conditioning on Subalgebras - Entropy Duality and Generalized Quantum Stein's Lemma in von Neumann Algebras
Bjarne Bergh, Li Gao, Mizanur Rahaman
We establish duality relations for conditional entropies relative to subalgebras of arbitrary von Neumann algebras, including the Umegaki relative entropy as well as the sandwiched…
Fast convergence of Dynamic Capacities of GNS-Symmetric Quantum Channels
Omar Fawzi, Li Gao, Mizanur Rahaman +1
We consider a quantum system described by a quantum channel that is applied at every time step and study the time evolution of its information capacities. When is a GNS-sym…
Separable neighbourhood of identity in C-algebras
Mizanur Rahaman, Mateusz Wasilewski
We study the structure of separable elements in bipartite C-algebras, focusing on the existence and size of a separable neighbourhood around the identity element. While th…
Exactness and LLP Results via Operator System Methods
Kenneth R. Davidson, Vern I. Paulsen, Mizanur Rahaman
In this paper, we employ operator system techniques to investigate structural properties of C*-algebras. In particular, we provide more direct proofs of results concerning exactnes…
Completely Bounded Norms of -positive Maps
Guillaume Aubrun, Kenneth R. Davidson, Alexander Müller-Hermes +2
Given an operator system , we define the parameters (resp. ) defined as the maximal value of the completely bounded norm of a unit…
Operator Algebra Generalization of a Theorem of Watrous and Mixed Unitary Quantum Channels
David W Kribs, Jeremy Levick, Rajesh Pereira +1
We establish an operator algebra generalization of Watrous' theorem \cite{watrous2009} on mixing unital quantum channels (completely positive trace-preserving maps) with the comple…